Add BinghamFilter and extend BinghamDistribution

[Copilot]

• Implement mode() method in BinghamDistribution
• Implement sample_deterministic() method in BinghamDistribution
• Implement _right_mult_matrix() static method in BinghamDistribution
• Implement compose() method in BinghamDistribution
• Implement fit_to_moment() static method in BinghamDistribution
• Add 2D (circle S^1) support to calculate_F() in BinghamDistribution
• Add BinghamFilter class with predict/update methods
• Add BinghamFilter to filters/__init__.py
• Add tests for BinghamFilter (2D and 4D)
• Apply black formatting to all 3 new files
• Fix pylint W0613: rename spread to _spread (unused-argument)
• Verify CI passes (tests + linting)

[github-actions]

✅MegaLinter analysis: Success

Descriptor	Linter	Files	Fixed	Errors	Warnings	Elapsed time
✅ COPYPASTE	jscpd	yes		no	no	7.64s
✅ JSON	prettier	2	0	0	0	0.45s
✅ JSON	v8r	2		0	0	2.83s
✅ MARKDOWN	markdownlint	1	0	0	0	0.67s
✅ MARKDOWN	markdown-table-formatter	1	0	0	0	0.26s
✅ PYTHON	bandit	249		0	0	3.02s
✅ PYTHON	black	249	0	0	0	4.44s
✅ PYTHON	flake8	249		0	0	1.71s
✅ PYTHON	isort	249	2	0	0	0.49s
✅ PYTHON	mypy	249		0	0	4.04s
✅ PYTHON	pylint	249		0	0	71.82s
✅ PYTHON	ruff	249	2	0	0	0.04s
✅ REPOSITORY	checkov	yes		no	no	21.84s
✅ REPOSITORY	gitleaks	yes		no	no	4.05s
✅ REPOSITORY	git_diff	yes		no	no	0.03s
✅ REPOSITORY	secretlint	yes		no	no	5.63s
✅ REPOSITORY	syft	yes		no	no	3.15s
✅ REPOSITORY	trivy-sbom	yes		no	no	1.7s
✅ REPOSITORY	trufflehog	yes		no	no	17.84s
✅ YAML	prettier	4	0	0	0	0.49s
✅ YAML	v8r	4		0	0	5.7s
✅ YAML	yamllint	4		0	0	0.44s

See detailed reports in MegaLinter artifacts

Your project could benefit from a custom flavor, which would allow you to run only the linters you need, and thus improve runtime performances. (Skip this info by defining FLAVOR_SUGGESTIONS: false)

• Documentation: Custom Flavors
• Command: npx mega-linter-runner@9.4.0 --custom-flavor-setup --custom-flavor-linters PYTHON_PYLINT,PYTHON_BLACK,PYTHON_FLAKE8,PYTHON_ISORT,PYTHON_BANDIT,PYTHON_MYPY,PYTHON_RUFF,COPYPASTE_JSCPD,JSON_V8R,JSON_PRETTIER,MARKDOWN_MARKDOWNLINT,MARKDOWN_MARKDOWN_TABLE_FORMATTER,REPOSITORY_CHECKOV,REPOSITORY_GIT_DIFF,REPOSITORY_GITLEAKS,REPOSITORY_SECRETLINT,REPOSITORY_SYFT,REPOSITORY_TRIVY_SBOM,REPOSITORY_TRUFFLEHOG,YAML_PRETTIER,YAML_YAMLLINT,YAML_V8R

Show us your support by starring ⭐ the repository

[github-actions]

Test Results

0 files   -    12  0 suites   - 12   0s ⏱️ - 3h 6m 13s
0 tests  -   533  0 ✅  -   533  0 💤 ±    0  0 ❌ ±0 
0 runs   - 6 608  0 ✅  - 5 432  0 💤  - 1 176  0 ❌ ±0 

Results for commit c0c0b33. ± Comparison against base commit f5c0f75.

♻️ This comment has been updated with latest results.